{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear basis function models with PyMC3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.8\n"
     ]
    }
   ],
   "source": [
    "import logging\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "\n",
    "print(pm.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a [PyMC3](https://docs.pymc.io/) implementation of the examples in [Bayesian regression with linear basis function models](https://nbviewer.jupyter.org/github/krasserm/bayesian-machine-learning/blob/master/bayesian_linear_regression.ipynb). To recap, a linear regression model is a linear function of the parameters but not necessarily of the input. Input $x$ can be expanded with a set of non-linear basis functions $\\phi_j(x)$, where $(\\phi_1(x), \\dots, \\phi_M(x))^T = \\boldsymbol\\phi(x)$, for modeling a non-linear relationship between input $x$ and a function value $y$.\n",
    "\n",
    "$$\n",
    "y(x, \\mathbf{w}) = w_0 + \\sum_{j=1}^{M}{w_j \\phi_j(x)} = w_0 + \\mathbf{w}_{1:}^T \\boldsymbol\\phi(x) \\tag{1}\n",
    "$$\n",
    "\n",
    "For simplicity I'm using a scalar input $x$ here. Target variable $t$ is given by the deterministic function $y(x, \\mathbf{w})$ and Gaussian noise $\\epsilon$.\n",
    "\n",
    "$$\n",
    "t = y(x, \\mathbf{w}) + \\epsilon \\tag{2}\n",
    "$$\n",
    "\n",
    "Here, we can choose between polynomial and Gaussian basis functions for expanding input $x$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from functools import partial\n",
    "from scipy.stats import norm\n",
    "\n",
    "def polynomial_basis(x, power):\n",
    "    return x ** power\n",
    "\n",
    "def gaussian_basis(x, mu, sigma):\n",
    "    return norm(loc=mu, scale=sigma).pdf(x).astype(np.float32)\n",
    "\n",
    "def _expand(x, bf, bf_args):\n",
    "    return np.stack([bf(x, bf_arg) for bf_arg in bf_args], axis=1)\n",
    "\n",
    "def expand_polynomial(x, degree=3):\n",
    "    return _expand(x, bf=polynomial_basis, bf_args=range(1, degree + 1))\n",
    "\n",
    "def expand_gaussian(x, mus=np.linspace(0, 1, 9), sigma=0.3):\n",
    "    return _expand(x, bf=partial(gaussian_basis, sigma=sigma), bf_args=mus)\n",
    "\n",
    "# Choose between polynomial and Gaussian expansion\n",
    "# (by switching the comment on the following two lines)\n",
    "expand = expand_polynomial\n",
    "#expand = expand_gaussian"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, to expand two input values `[0.5, 1.5]` into a polynomial design matrix of degree `3` we can use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.5  , 0.25 , 0.125],\n",
       "       [1.5  , 2.25 , 3.375]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expand_polynomial(np.array([0.5, 1.5]), degree=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The power of `0` is omitted here and covered by a $w_0$ in the model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example dataset\n",
    "\n",
    "The example dataset consists of `N` noisy samples from a sinusoidal function `f`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from bayesian_linear_regression_util import (\n",
    "    plot_data, \n",
    "    plot_truth\n",
    ")\n",
    "\n",
    "def f(x, noise=0):\n",
    "    \"\"\"Sinusoidal function with optional Gaussian noise.\"\"\"\n",
    "    return 0.5 + np.sin(2 * np.pi * x) + np.random.normal(scale=noise, size=x.shape)\n",
    "\n",
    "# Number of samples\n",
    "N = 10\n",
    "\n",
    "# Constant noise \n",
    "noise = 0.3\n",
    "\n",
    "# Noisy samples \n",
    "x = np.linspace(0, 1, N, dtype=np.float32)\n",
    "t = f(x, noise=noise)\n",
    "\n",
    "# Noise-free ground truth \n",
    "x_test = np.linspace(0, 1, 100).astype(np.float32)\n",
    "y_true = f(x_test)\n",
    "\n",
    "plot_data(x, t)\n",
    "plot_truth(x_test, y_true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementation with PyMC3\n",
    "\n",
    "### Model definition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model definition directly follows from Eq. $(1)$ and Eq. $(2)$ with normal priors over parameters. The size of parameter vector `w_r` ($\\mathbf{w}_{1:}$ in Eq. $(1)$) is determined by the number of basis functions. With the above default settings, it is 3 for polynomial expansion and 9 for Gaussian expansion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from theano import shared\n",
    "\n",
    "Phi = expand(x)\n",
    "Phi_shared = shared(Phi)\n",
    "\n",
    "with pm.Model() as model:\n",
    "    w_0 = pm.Normal('w_0', mu=0, sigma=10)\n",
    "    w_r = pm.Normal('w_r', mu=0, sigma=10, shape=Phi.shape[1])\n",
    "\n",
    "    mu = w_0 + w_r.dot(Phi_shared.T)\n",
    "    \n",
    "    t_obs = pm.Normal('t_obs', mu=mu, sigma=noise, observed=t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Inference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (3 chains in 3 jobs)\n",
      "NUTS: [w_r, w_0]\n",
      "Sampling 3 chains, 0 divergences: 100%|██████████| 3000/3000 [00:05<00:00, 528.69draws/s]\n",
      "The number of effective samples is smaller than 25% for some parameters.\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    trace = pm.sample()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(trace, compact=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YOnQozzzzDFFRUeTl5bF//34OHz7M3LlziYyMJDg4mClTpvDyyy+TlZXFjBkzaNiwYZUyhoaGEhoaWuH1g4ODGTVqFBMnTkTTNAICAoiOjiYkJKSk4I3qGcbb/3uV2968nbTMXHw9nImKiiIqKoqRI0fy0ksvERYWxvr165k1axZPPvlkSU8vNjaW7777js6dO2M0Glm6dCmff/45y5YtK3XqgBCWTP5ShU1LycqnwGRmSFSjSm334YcfEhERwaeffsr06dPx9vamZcuWJYMwXFxcWLJkCePHj+eee+4hODiYqVOnsnr1avbt21cTTbnMe++9h4eHB5MnTyYnJ4c+ffowf/78kllMHA0O9G9Rj8O/mXl52QHevq8dBoOBX3/9lRdeeIGXXnqJlJQUQkJCiI6OZsqUKSXP7ezszF9//cXMmTMxGo106tSJlStX0qtXr1ppmxDVQWmadqXHr/igEJZu8sJd/HngDFum9sfN2T5H/81ccYj3V8XyxcOd6Nu8nt5xhKhu5c65Jyd6C5uVkVvIsr1J3NG+gd0WN4DH+4XTNMCDqT/u43y+TJYs7IcUOGGzftmVSL7RzJCoy88FsycujgbeuKcNpzJyefP3GL3jCFFrpMAJm7Vw2wlaBnnTqqH1XtS0unQM8WN4t1C+3HSMtYdT9I4jRK2QAids0r7EDPYlZjK0c6MyZ/ywR8/eFElEoCeTF+0iOSvv6hsIYeWkwAmbtHDrCZwdHbijbdWG7dsiN2cDHzzQgfP5RiYt3IXZLGPIhG2TAidsTl6hiZ92JXJLq/rUcXfSO45FiQj0InrQdWyIPcvHa47qHUeIGiUFTtic3/YlkZVnLHOiYQFDOjViUNsGvP3nYbYlpOkdR4gaIwVO2JwFW04QUtedrk389I5ikZRSvHpXKxr6uDFh/k5SsvL1jiREjZACJ2xKfGo2m+PTuC9KBpdciZerEx892IFzOQWM+3Y7BUaz3pGEqHZS4IRNWbTtBAYHxT0dKzaxsj1r1bAOb97Tlq0J55jxy36uMquREFZH5qIUNsNoMrN4+0mubx5Q6hpoonyD2jbgYFImH60+SssG3jzUNUTvSEJUG+nBCZvx96EUUrLyZXBJJU0Z2Jx+kfV48Zf9/BN3Vu84QlQbKXDCZizcepwALxeubx6gdxSrYnBQzBrajpC67jz29XZiTmfqHUmIaiEFTtiEM5l5rIpJ5p6OwThW4KrdojRvVye+eLgzbk4Ghs3dQkJqtt6RhLhm8kkgbMLi7Scxa3BfJa/7Jv7VyM+dbx7pjMls5sG5m0nKyNU7khDXRAqcsHpms8aibSfoEuZHmL+H3nGsWng9L74a2YXM3EKGzd3M2fNyjpywXlLghNX7J/4sx87mMLSz9N6qQ+vgOnw2ohOJ6bn83+dbyMgt1DuSEFUiBU5YvflbTuDt6sjNrYL0jmIzOof5MXtYRw6fyWLUF1vJKZALpQrrIwVOWLXU8/n8vi+JuzsG4+pkv1ftrgl9m9dj1pD27Dh+jse+3k6+0aR3JCEqRQqcsGqLt5+k0KTxYBc5960m3NomiNfvbsO6I6k8/t1OCk0ypZewHlLghNUymzXmbzlO51A/wut56R3HZt0X1YjoQS3588AZnvp+Nya5jpywEjJVl7BaG46mcuxsDpMHROgdxeaN6BFGTqGJN34/hJuTgdcGt5bJrIXFkwInrNZ3m4/j6+7ETa3q6x3FLozrG05OvokP/o7FzdnA9NtaSpETFk0KnLBKyZl5rDhwhpE9QnFxlMEltWXKwAiyC4zM25CAp4sjUwY21zuSEOWSAies0qJtJzCZNe7vLINLapNSium3tSS3wMT7q4p6cuP6husdS4gySYETVsdk1pi/5QTdm9alSYCn3nHsjlKK/97VmpyComNyHs6ODO8eqncsIS4jBU5YnTWHk0lMz+U/t0TqHcVuGRwUM+9rS26hiRm/7MfL1ZHBHeQis8KyyGkCwurM25BAoLcLN14ng0v05GRw4IMH2tO9aV2eWbyHjbGpekcSohQpcMKqHDmTxbojqTzUNQQnuSyO7lwcDXw8rCNh/h489s12jpzJ0juSECXkE0JYlXkbE3B2dJDBJRakjpsT8x7uhKuTgRHztpKclad3JCEAKXDCiqTnFLBkx0nubNeAup4uescRFwn2deez4VGkZRfwyJfbZHJmYRGkwAmrsWDrCfIKzTzcI0zvKKIMbYJ9eP/+9uxLzODpxXvQNJnSS+hLCpywCkaTma82JtCtSV1aBHnrHUeUo3/LQJ65KZJle5KYvSZO7zjCzkmBE1bhj/1nOJWRx8M9QvWOIq7isd5NuK1NEG/8EcPqQ8l6xxF2TAqcsArzNsTTyM+NG1oE6h1FXIVSijfuaUNkfW8mzN9JfGq23pGEnZICJyze7hPpbDt2juHdQjE4yOS+1sDd2ZE5D3XE0UHx6FfbOJ8vg05E7ZMCJyze7DVH8XJ1ZEinRnpHEZXQyM+dDx/oQFzKeab/vE/vOMIOSYETFi0u5Ty/7z/N/3ULwcvVSe84opK6h/szoV8zluxI5MedJ/WOI+yMFDhh0easjcPZ4MCI7nJqgLWa0C+cTqG+vPDjPo6dleNxovZIgRMW60xmHkt2JHJvVDABXnJit7VyNDgwa2h7DA6KJ+bvpMBo1juSsBNS4ITF+nx9PEazmdG9muodRVyjhj5u/O/uNuw+mcHbfx7WO46wE1LghEXKyC3k283Hua1NAxrXddc7jqgGN7cO4oEujZm95igbj8qVB0TNkwInLNI3/xzjfL6Rx/o00TuKqEbTbm1JmL8HT3+/h6y8Qr3jCBsnBU5YnLxCE/M2xNMnIoDrGtTRO46oRm7OBt66ty1JGbn8d9lBveMIGycFTlicbzcfJ/V8AeP6yrE3W9QxxJfH+jRlwdYTrIo5o3ccYcOkwAmLkldoYvaao3RvWpcuTerqHUfUkIn9mxFZ34tnf9jLuewCveMIGyUFTliUb/45RkpWPhP7R+gdRdQgF0cDM+9rS3pOAdN/2a93HGGjpMAJi5FbYGL2mjh6hNelc5if3nFEDbuuQR2e6NeMX3ef4s8DsqtSVD8pcMJifLv5GKnn83nyBum92YsxfZvSPNCL6T/vkwmZRbWTAicsQlHv7aj03uyMk8GBVwe35nRmHjNXHNI7jrAxUuCERfjmn2Okni+QY292qGOIL8O6hPDlxgT2nEzXO46wIVLghO5yCox8svYoPcP96RQqvTd79PRNzfH3dOG5H/ZiNMlclaJ6SIETuvv2n+PFvbdmekcROvF2deLF26/jQFIm8zYk6B1H2AgpcEJXOQVGZq85Sq9m/kRJ782u3dSqPv1b1OPtPw9zKj1X7zjCBkiBE7r65p9jnM2W3psApRQzBl2HWdN4dblM4yWunRQ4oZucAiOfrImjVzN/OoZI701AIz93xvZtytI9SWw6elbvOMLKSYETuvl6k/TexOXG9GlKsK8b0b/sp1AGnIhrIAVO6KJo5KT03sTlXJ0MTL+tJYfOZPH1pmN6xxFWTAqc0MVXm46Rli3nvYmyDWgZSO+IAN758zApWfl6xxFWSgqcqHXZ+UbmrI2jd0QAHUN89Y4jLFDRgJOW5BlNvPF7jN5xhJWSAidq3b+9Nzn2JsrXNMCTkT3DWLzjJPsSM/SOI6yQFDhRq4p6b0fpExFAh8bSexNXNv76cPzcnXl56QE0TdM7jrAyUuBErfpq0zHO5RRK701UiLerE5MGRLA5Po0/9ssldUTlSIETtSanwMin6+LoExFAe+m9iQoa2qkREYGevPbbQQqMctqAqDgpcKLWzN9ygrTsAib0C9c7irAijgYHpt7akmNnc/hqU4LecYQVkQInakW+0cSctUfpEuYnc06KSusTEUCfiADeXXmEtOwCveMIKyEFTtSKJTsSOZOZz+PSexNV9MKtLcgpMPHuX4f1jiKshBQ4UeOMJjMfrz5K2+A69Az31zuOsFLNAr24v3Mjvtl8nNjk83rHEVZACpyocUv3JHE8LYdx14ejlNI7jrBik/pH4O5kkKsNiAqRAidqlNms8dHqWCICPRnQIlDvOMLK1fV04fF+4ayKSWbdkRS94wgLJwVO1Kg/D57h8JnzjL8+HAcH6b2JazeiRyiN/Nx4bXkMZrOc/C3KJwVO1BhN0/jw71ga+7lza+sgveMIG+HiaGDKgOYcSMpk+b4kveMICyYFTtSY9bGp7DmZwdi+TXE0yJ+aqD6D2jageaAXb684jFGuGSfKIZ86osZ8sCqW+t6uDO7QUO8owsYYHBRP3dicuNRsfthxUu84wkJJgRM1YltCGpvj0xjduwkujga94wgb1L9FPdo39mHWX0fIKzTpHUdYIClwokZ8vPoofh7ODO3cSO8owkYppXj6xuYkZeTxzT9y5W9xOSlwotodTTnPyphk/q9bCO7OjnrHETase1N/eob789Hqo5zPN+odR1gYKXCi2n22Ph5nRweGdQ3RO4qwA0/f2Jy07AI+WxevdxRhYaTAiWqVll3AD9tPcneHhvh7uugdR9iBto18uPG6QD5dF8c5mYhZXEQKnKhW3/xzjHyjmVE9w/SOIuzIUwObk11g5OM1R/WOIiyIFDhRbfIKTXy1KYHrmwcQXs9L7zjCjjQL9OKu9g35cmMCpzPy9I4jLIQUOFFtftl1itTzBTzSq4neUYQdmtQ/ArOm8d6qI3pHERZCCpyoFpqmMXd9HC2CvOnetK7ecYQdauTnzv2dG7No6wkSUrP1jiMsgBQ4US3WHknl8JnzPNIzTC6JI3Tz+PXhOBoU78hFUQVS4EQ1mbsujnpeLgxq20DvKMKO1fN25eEeYfyy+xQHkzL1jiN0JgVOXLOY05msO5LK8O6hODvKn5TQ15jeTfF0cWTmCunF2Tv5NBLXbO66eNycDDzYpbHeUYSgjrsTo3s14a+DZ9h1Il3vOEJHUuDENUnOzOPnXYncGxWMj7uz3nGEAODhnmH4eTgzc8UhvaMIHUmBE9fkq03HMJo1RvaQE7uF5fB0cWRsn6asO5LK5rizescROpECJ6ost8DEN5uPMaBFIKH+HnrHEaKUYV1DqOflwswVh9E0Te84QgdS4ESVLd5xkvScQjmxW1gkN2cDj/cLZ0tCGuuOpOodR+hACpyoErNZ4/P18bQNrkOnUF+94whRpiGdGtHQx423VhySXpwdkgInqmRlTDLxqdmM6tVETuwWFsvF0cCTNzRjz8kM/jxwRu84opZJgRNVMnddHA193LilVX29owhxRYM7NCTM34O3/zyM2Sy9OHsiBU5U2t6TGWyOT2NE91AcDfInJCybo8GBif2bEXM6i6V7k/SOI2qRfDqJSpu7Pg5PF0eGdG6kdxQhKmRQmwY0D/Ri1p+HMZrMescRtUQKnKiUU+m5LNuTxJBOjfB2ddI7jhAV4uCgmDwwgrjUbJbsTNQ7jqglUuBEpczbEI8GjOgeqncUISplYMtA2gTX4d2/jlBglF6cPZACJyosI7eQ7zYf59bWQTTyc9c7jhCVopRiysDmJKbnsnDrcb3jiFogBU5U2Hebj5NdYGJ0bzmxW1in3s386RTqy/urYskrNOkdR9QwKXCiQvKNJj7fEE+vZv60alhH7zhCVMmFXlxyVj7f/HNM7ziihkmBExXy085EUrLyeax3U72jCHFNujapS69m/ny0+ijn8416xxE1SAqcuCqzWeOTtXG0DPKmR3hdveMIcc0mD4ggLbuALzbE6x1F1CApcOKq/jp4hriUbB7rY3/Tcv3000+0adMGFxcXwsLCePvtt6+4/sSJE1FK8dRTT5VaHhMTQ5cuXahTpw5Dhw7l/PnzpR5fu3YtDRs2vGx5Wb744guUUmWuGx0djb+/f8n9hIQElFIlNy8vL6Kioli0aFG563h4eNC0aVMefPBB1q1bd9U81qh9Y1/6t6jHJ2vjyMgp1DuOqCFS4MRVzVlbNC3Xra2D9I5SqzZs2MDgwYPp3Lkzv/76KyNHjuTZZ59l1qxZZa5/4MABPv/8c7y9vS97bMSIEYSHh7No0SIOHDjAq6++WvKY2Wxm4sSJvPbaa3h6etZIW9566y02bdrEDz/8QLNmzRgyZAhLly4tc53ly1kQxTMAAB4mSURBVJczbdo0zp49S+/evXnxxRdrJJPepgxszvl8Ix+ujtU7iqgpmqZd6Sbs3Jb4s1rIs0u1eevj9I5S6wYOHKj16tWr1LJJkyZpvr6+Wn5+/mXr33DDDdoLL7yghYSEaFOmTClZnpWVpQFacnKypmmatmDBAi0qKqrk8Tlz5midO3fWzGZzhXLNmzdPA7SsrKzLHpsxY4ZWt27dkvvx8fEaoP36668ly0wmkxYREaHdcsst5a5zwbRp0zRA+/vvvyuUzdpMWbRLa/b8cu342Wy9o4iqK7eGSQ9OXNG7fx3B39OZ+zrZ37Rcu3bton///qWWDRw4kHPnzrFp06ZSyxcvXszBgwd57rnnLnuegoICANzc3ABwd3cvWZaZmcm0adN49913a233r4ODA+3atSMhIeGq686YMYMGDRowe/bsmg+mgykDI3BwgLdWHNI7iqgBUuBEubYlpLE+NpXRvZvg7uyod5xal5eXh7Ozc6llLi4uABw8eLBkWW5uLlOmTOH111/Hw+PyK5v7+fkRFhbG+++/T1paGnPmzCEqKgqAl19+mf79+9O1a9dK5zOZTBiNxlI3s7liM3QkJCRQv/7VrwRhMBjo168f//zzT6XzWYOgOm6M6hnGz7tOsedkut5xRDWzv08tUWHvrjxCXQ9nhnUN0TuKLsLDw9m6dWupZVu2bAEgLS2tZNlrr71GUFAQw4YNK/e5PvzwQ+69916ef/55mjVrxocffkhsbCyfffYZe/bsqVI+Hx+fMpfXrXv5SFez2YzRaCQzM5O5c+eyZcsW3n///Qq9TnBwMGfO2O611Mb0acqCLSf477KDLBjd1e4GUtkyKXCiTNuPpbHuSCrP3xJpl703gDFjxjB27Fg+/fRT7rnnHrZs2cLMmTOBop4NQHx8PG+99RarVq264gfjzTffTHJyMidPnqRp06YYDAZuv/12Jk2aRHBwMB9++CH/+9//AHjuuecYN27cVfOtXbu2ZLfnBXPmzGHJkiWXrXvHHXeU/N/JyYnJkyczduzYq/8QwOavhO3l6sST/Zsx/ef9rDyYTP+WgXpHEtXEPj+5xFXN+su+e28AI0eOZPfu3YwdO5bRo0fj7u7O//73PyZMmEBgYNGH4HPPPcfNN99MZGQk6elFu7jMZjP5+fmkp6dTp06dksLn7u5OREQEAH/99Re7d+9m4cKF7N69m2nTprFx40YAunXrRs+ePWnTps0V87Vv3/6yUZeXjoy84J133qFnz554eXkRFhZ22a7XK0lMTCxpr626v3NjvtiQwGu/HaRP8wCc5DqHNkF+i+Iy24+dY90R+z32doHBYOCDDz4gJSWFPXv2cObMmZJjZRf+PXToEEuWLMHX17fkduLECT744AN8fX1JTLz80ixGo5GJEyfyxhtv4ObmxurVq+nXrx+RkZFERkZyww03sGbNmmptS3h4OFFRUTRv3rxSxc1oNLJq1Sq6detWrXksjZPBgf/c0oKjKdl8vUmm8LIV9vvpJcr17soj+Hk481A3++29XexC4QL46KOP6N69O5GRkQDMnTv3shOuhw4dSp8+fRg7diwBAQGXPd/s2bPx9fVlyJAhJctycnJK/p+dnW0xuwVfeuklTp06xZgxY/SOUuP6t6hHn4gA3vnzMIPaNiDAy0XvSOIaSYETpWyOO8vawyk8d7P9Hnu74J9//mH9+vW0a9eOzMxM5s+fzx9//MH69etL1rkwGvJirq6uNGrUiL59+1722Llz53jxxRf5448/Spb17t2bZ555hs8//xyAVatW8frrr1d/g67i0KFD+Pv7U1BQQHx8PAsWLOD3338nOjqaPn361Hqe2qaUYsagltw4ay3/+z2Gt+5tq3ckcY3s+xNMlGI2a7yy7CBBdVwZ3i1U7zi6c3JyYuHChURHR+Pg4ECvXr3YsGEDrVu3rvJzzpgxg9tvv50OHTqULGvfvj1vvPEGU6dOBYpmFGnbtvY/XC9ML+bq6kpQUBDdunVj7dq19OrVq9az6KVJgCejejZh9pqj3N+5MR1DfPWOJK6BusquEMvYTyJqxQ/bTzLl+93MGtKOO9s31DuOELrIzjfSb+ZqArxc+Hl8TwwOctqAhSv3FySDTAQAOQVG3vgjhraNfLi9bQO94wihGw8XR6be2pJ9iZkskCt/WzUpcAKAT9bEcSYzn2m3tsBBvrEKOzeoTRBdwvx44/dDJGfl6R1HVJEUOEFSRi6frD3KrW2CiAr10zuOELpTSvHfu1qTW2hi+k/7LWZUq6gcKXCCN/84hFmD526K1DuKEBYjvJ4nE/s34/f9p1m+97TecUQVSIGzc1vi01iyI5FRPcNo5OeudxwhLMroXk1oE1yH6T/v4+z5fL3jiEqSAmfH8gpNPPvDHhr5uTGhX7jecYSwOI4GB968py2ZeYVE/3pA7ziikqTA2bF3Vx4hPjWb1we3sfuTuoUoT/P6Xkzo14xfd5/ij/2yq9KaSIGzU/sSM5izNo4hUY3oEe6vdxwhLNrYvk1pGeTN80v2ciZTRlVaCylwdqjQZOaZxXuo6+HM87e20DuOEBbPyeDAe/e3I6fAxIT5OzGaKnZhWaEvKXB2aM7aOA4kZfLSHa2o4+akdxwhrEJ4PS9eHdyKLfFpzPzzsN5xRAVIgbMz+09l8O5fR7ildX1ualVf7zhCWJW72gdzf+dGfLz6KKtibPcq57ZCCpwdySkwMmH+Tnw9nHjlzqpPGCyEPZsx6DpaBHkzaeFuTp7LufoGQjdS4OxI9C/7iU/N5p372uHnUfGLXgoh/uXqZOCjBztgMmuM+WY72flGvSOJckiBsxOLtp5g0baTjOvblO4yalKIaxLm78G7Q9tx4FQm47/bIYNOLJQUODuw52Q6L/y8j57h/kzqH6F3HCFswg0tAnn5zlasPpTC1B/3yXyVFkjO7rVxadkFjP1mBwGeLrx3f3scDfKdRojq8mCXEJLS8/jg71ga+LjxZP9mekcSF5ECZ8NMZo0n5u8k5Xw+i8d0k+NuQtSAKQMjSMrI452/DlPP24X7OzfWO5IoJgXOhr35xyHWx6byv7tb0ybYR+84QtgkpRSv392as9n5/GfJXhQwVIqcRZD9VTZqwZbjzF5zlAe6NGZIJ3mzCVGTnAwOzB7WkT4RATy3ZC/fbZYrgVsCKXA2aM3hFKb+tI/eEQG8ePt1escRwi64Ohn45KGOXN88gOd/3Ms3/xzTO5LdU1cZ+SPDgqzMgVOZ3Dt7I4383Pl+TDe8XGUqLiFqU77RxLhvdrAyJplpt7VkVM8wvSPZOlXuA1LgbEdSRi53fbgRgB/HdyeojpvOiYSwT/lGE0/O38Xv+08zpk9Tnr2pOUqV+zksrk25P1jZRWkjMnIKGfH5Vs7nG5n3cCcpbkLoyMXRwIcPduDBLo2ZveYoU77fTaGcDF7rZBSlDcgtMDHqy63Ep2bz+YhOtAjy1juSEHbP4KB45c5W1Pd2Zeafh0k9X8DHD3bAw0U+dmuL7KK0coUmM499vZ2/DyXzwf0duLVNkN6RhBCXWLDlOM//uJeWDbz5fEQn6nm56h3JlsgxOFtkNms89f1uluxM5JU7WzGsa4jekYQQ5VgVc4bx3+7Ez8OZL0d2Iryel96RbIUcg7M1mqbx6vKDLNmZyOQBEVLchLBw/SIDWfhYV/KNJgZ/tJHNcWf1jmTzpMBZqdlr4pi7Pp7h3UKY0C9c7zhCiApoE+zDj+N64O/lwkOfbeGX3af0jmTTZBelFVqw5TjPLdnL7W0bMGtIOxwcZPixENYkPaeAR7/axtaEc/zn5khG924ipxFUnRyDsxU/7jzJ5EW76d0sgE//LwpnR+mEC2GN8gpNTPl+N8v2JPF/3UKYMeg6DPJltSrK/aHJeFUrsnxvElMW7aZrWF0+eaijFDchrJirk4H3h7anoY8bc9bGkZSRx3tD2+PmbNA7ms2QHpyVWHnwDI99vZ12jXz4cmRnOZdGCBvy5cYEon/dT5tgHz4bHoW/p4vekayJ7KK0ZuuOpDDqi21EBnnxzSNd8Jb5JYWwOX/sP80T83cS6O3K16M6E1LXQ+9I1kIKnLXaHHeW4fO2EObvyfxHu+DjLhctFcJW7Th+jpFfbMXJ4MDXozoTWV9mJaoAKXDWaPuxNP7vsy0E+bixYHRX2W0hhB04ciaLYZ9tJq/QzLyHO9Ghsa/ekSydnOhtbTYeTeWhz7ZQz9uVbx/pIsVNCDvRLNCLxWO64+PuxIOfbmbdkRS9I1ktKXAWaPWhZB6et5VgXzcWPtaVQG+Zt04Ie3Lheo4hdd0Z+cVWftubpHckqyS7KC3MH/tP8/h3O4gI9OLrUV3w85BjbkLYq4ycQkZ+uZWdx8/x2uDWDOnUWO9IlkiOwVmDRdtO8J8le2kTXIcvHu5MHTcZLSmEvcspMDLmmx2sPZzC1Fta8GjvJnpHsjRS4CyZpmnM+usI7648Qq9m/nw8rCOecp6bEKJYgdHMpIW7WLY3icevD2fKwAiZ2utfMsjEUhUYzTz1/R7eXXmE6wPzSfz2eer5etOgQQOmT5+OyWSq8HOZzWY6duyIUoqlS5eWemzEiBEopS67xcTEVHeThLB7sbGxPPbYY7Rt2xaDwUDfvn0rtf2l72VnRwfeu789Qzs14oO/Y5nxy37MZul/XI10E3R0LruAx+fvYEPsWcZ0DeS9cbfTsmVLfv75Z44ePcqUKVMwm8288sorFXq+uXPnkpiYWO7jkZGRzJs3r9Sy0NDQa2mCEKIM+/fvZ/ny5XTt2pWCgoJKb1/We9ngoHhtcGvquDnxydo4svKMvHFPG5wM0k8pjxQ4new6kc74b3eQkpXPW/e25ciKr8nNzWXJkiV4e3szYMAAMjMziY6O5plnnsHb+8onfJ47d46pU6fy+uuv88gjj5S5joeHB127dq2J5gghLjJo0CDuuOMOAO655x5SU1MrvO2V3stKKZ67ORJvNyfe/OMQWXmFfPBAB1ydZP7Kskjpr2WapvH1pgTunb0RgO/HdOOejsH89ttv3HjjjaUK2dChQ8nNzWXNmjVXfd5p06bRo0cPbrjhhpqKLoSoIAeHqn+0Xu29rJRi/PXhvHxnK1bGJDNi3hbO5xur/Hq2TApcLUrPKeCJBbuY9vN+eob7s+yJnrRt5ANATEwMkZGRpdZv3Lgx7u7uVz1OtmfPHubNm8dbb711xfUOHDiAt7c3Li4u9OzZs0KFUwhReyr6XgZ4qGsIs4a0Y2vCOR749B/Ssiu/K9TWSYGrJb/tTaL/22tZvjeJpwZG8NnwTqXmlTx37hw+Pj6Xbefr68u5c+eu+NwTJkxg/PjxhIeXf2Xv9u3bM3PmTH799Ve+/fZbTCYTAwYMYMuWLVVvlBCiWlXkvXyxO9o1ZM5DHTl0Oot7Zm/kRFpODSe0LnIMroYlZ+Yx7ed9/LH/DK0aevPlyE5c16BOmeuWNexX07QrDgdesGABhw4d4tdff71ijieffLLU/VtvvZWWLVvy6quv8tNPP1WgJUKImlTR9/KlbmgRyNejuvDoV9u466MNzB3eiXaNLv+ybI+kB1dDcgtMfPh3LP1mrmH1oRSeuzmSn8b1KLe4+fr6kp6eftnyjIyMMnt2AIWFhTz99NM8++yzmM1m0tPTyczMBCA7O5usrKxy87m5uXHLLbewY8eOKrROCFGdruW9DNA5zI8l47rj7uzI0Dmb+H3f6dqIbfHkRO9qlp1v5LvNx/l0XRzJWfkMaBnI87e0IMz/ytd26t27Nw0bNmT+/Pkly06cOEHjxo355ZdfGDRo0GXbpKen4+tb/kzjTZs2JTY2ttzHx48fz9KlSzl27FgFWiaEqIoLoyhXr15d7jrX+l6+IPV8Po98uY3dJ9P5z82RPNqriT2cEF5uA2UXZTVJzyngy43HmLcxnvScQnqE1+WDBzrQOcyvQtvffPPNvPnmm2RlZeHl5QXAwoULcXNzo0+fPmVu4+npyd9//11q2enTp7n//vt59dVX6devX7mvl5uby2+//UbHjh0r2EIhRE25lvfyxfw9XVgwuitTFu3m1eUx7D6ZwRt3t8HDTmdGss9WVxNN09gcn8bCrSdYvjeJfKOZ/i0CGX99U9pX8hpOY8aM4b333mPw4ME8++yzxMXFER0dzeTJk0udOhAeHk6fPn347LPPcHR0vGyGhISEBABat25Nly5dgKLdnLfddhvDhg0jPDyc1NRU3nnnHRITE1m0aNE1/QyEEJfLyclh+fLlACQmJpKZmcnixYsBuOWWW3B3d6/Se7kiXJ0MfPBAe1qvrcMbv8dw+HQWsx/qSNMAz2ppmzWRAlcFcSnnWb43iSU7EolLzcbLxZH7ohrxYNfGVb4Cr6+vLytXruTxxx9n0KBB+Pj4MGnSJKKjo0utZzQaKzV9F4CLiwsBAQG88sorJCcn4+rqSrdu3VizZg1RUVFVyiuEKF9ycjL33ntvqWUX7sfHxxMaGlql93JFKaUY06cprRvWYcL8ndzxwQZev7s1t7VpUCOvZ6nkGFwFaJrGoTNZ/Ln/DMv2JhFzuuiAb+dQP4Z0asQtrYNwc5aZBIQQlicxPZfx3+5g14l07mzXgBfvaGVrVyqRqwlUVmZeIRuOpLLmcAprDqeQlJEHQFSIL7e0DuLm1vUJquOmc0ohhLg6o8nMh38f5b1VR6jn5cJb97alR7i/3rGqixS4qyk0mdlzMp0NsWdZH5vKjmPnMJo1vFwc6dnMn77NA+jbvJ5cXVsIYbX2nExn0sJdHE3JZkhUI56+qTn+ni56x7pWUuAuZTZrHDydyaajZ9kQm8qW+DSyC0woBS2DvOkTUVTQ2jf2kdm6hRA2I6/QxNt/Hubz9fG4ORl4sn8zhncPtebPOSlwhSYzexMz2BKfxtb4NLYmpJGZVzRBaZMAD7o3rUuPpv50bVIXXw/nqzybEEJYt6Mp53np1wOsOZxC0wAPJg9ozk2t6mNwsLrz5uyvwOUWmNh54lxRQUtIY8exdHILi0YsNQnwoEuYH51C/ejWtK4cSxNC2CVN01gVk8x/lx8kLiWbJgEejOsbzh3tGlhTj862C1yhycyRM+fZl5jB3uLb/lMZFJq0kl2OnUL96BLmR1SoHwFeVr/PWQghqo3JrPHbviQ+WBVLzOksGvq4MbRTIwZ3DKahj8V3AKy/wGmaxvl8I8fTcohNPl9yO5J8noTUbIzFl2/3dHGkZQNvOjT2pUuYHx1CfG1tSKwQQtSICz26T9fF8U9cGkpBj6b+DO7QkL7N6+FnmYdv9C1w+UYTSel5mDQNk/nfm1nTKDRpZOcbyc43cr743+wCExm5hZzJzCu+5XMmM4+cgn9PinRQEFrXg6b1PAmv50lkfS9aN6xDaF0PHKxvH7IQQliUE2k5LN5+kh92nOTkuVyUgtYN69C7WQDdw+tyXVAd6rhbROdB3wK3LzGD295fX6ltXBwdCPR2JdDbhXrertQv/n9DH3fC63kS6u+Oi6OcXC2EEDXJbNbYfTKddUdSWXs4hZ0n0jEV7zFr6ONGZH0vmgV60dDXjWAfNxr6ulHPywUvV6faGrCib4HLyClkZcwZDA6q6KYUDsX/OhoUHi6OeDg74uniiKerIx4uBileQghhgTJyC9l5/BwHk7I4mJRJzOlM4lOzKTSVLhdKFR0yquPmhLuzAUcHB5wcHXByUNzUqj6P9GpSXZGs/xicKNvMmTOJjo7m/PnzekcRQlSSp6cn0dHRTJkyRe8o18Rk1kjJyicxPZfE9FxSsvLJyC0kM7eQjNxCcgtMGM1mCkwaRpOZG1oEMqpnWHW9vBQ4W9WgQQOSkpL0jiGEqKKgoCBOnTqldwxrVm6Bs5oTHUTZpkyZgqen/V0GQwhb4OnpafW9N0smPTghhBDWTHpwQggh7IsUOCGEEDZJCpwQQgibJAVOCCGETZICJ4QQwiZJgRNCCGGTpMAJIYSwSVLghBBC2CQpcEIIIWySFDghhBA2SQqcEEIImyQFTgghhE264mTLL7744u+Af+3FqbIGgK1cb8KW2gK21R5bagvYVnukLZarptuTOmPGjJvKfETTNKu/RUdHa3pnkLbYfntsqS221h5pi+Xe9GyP7KIUQghhk2ylwL2od4BqZEttAdtqjy21BWyrPdIWy6Vbe652wVMhhBDCKtlKD04IIYQoRQqcEEIImyQFTgghhE2yigKnlBqnlIpXSuUppbYrpXpdYd3BSqkVSqkUpVSWUmqzUur22sx7JZVpyyXb9VRKGZVS+2o6Y2VUtj1KKWel1EvF2+QrpY4rpZ6orbxXUoW2PKCU2qWUylFKnVZKfaOUql9bea+Qq7dS6helVKJSSlNKjajANq2VUmuUUrnF201XSqlaiHu1XJVqi1Kqr1LqZ6VUUvHvZY9SamQtxb2qqvxuLtq2WfFn2vkajFhhVfw7U0qpiUqpmOL3f5JS6vWaymjxBU4pNQR4F3gVaA9sBH5TSjUuZ5M+wCrg1uL1lwM/VrSQ1KQqtOXCdr7AV8DKGg9ZCVVsz3zgJmA00By4F9hTw1GvqrJtUUr1AL4GvgSuA+4EWgLf1krgK/ME9gFPArlXW1kp5Q38CZwBOgFPAE8Dk2swY0VVqi1Ad2AvcA/QCvgYmKOUeqDGElZOZdsDFH0xBBYAa2soV1VUpS0zgXHAs0AL4BZqsk16nwR4tRuwGfj0kmVHgNcq8RxbgJnW2hZgCTADiAb26d2OqrYHGAhkAP56Z6+GtjwFHLtk2cPAeb3bckmm88CIq6wzFsgE3C5a9gKQSPFIa0u4VaQt5Wy3CPhB7/zX0h7gHWAeMMLS/sYq2haKvtAWAi1qK5dF9+CKv7V0BFZc8tAKir6pVZQXcK66clVFVduilBoH1Adeqbl0lVfF9twJbAUmK6VOKqWOKKXeU0p51mDUq6piWzYAQUqpQcW7XfyBoRTtMbA23YB1mqZd/C38D4qmWArVJVH18kbn9/+1UErdCtxGUc/amt0BxAE3KaXilFIJSqkvlVL1auoFLbrAUTQPpoGiXScXO0PRh/5VKaXGA8EU7U7SU6XbopRqTVHP7UFN00w1G6/SqvK7aQL0BNoCdwOPU7S78ouaiVhhlW6LpmmbgPsp2iVZAKQAChheczFrTH3KbvuFx6yWUuo24AZgjt5ZqkIpFQR8CjykaVqW3nmuURMghKIvgiOAh4BI4FelVI3UIksvcBdceja6KmPZZZRSdwNvUlQgjtVEsCqoUFuUUi4U7XN/StO0+NoIVkWV+d04FD/2gKZpmzVN+4OiIne3UiqwBjNWVIXbopRqCbwHvExR7+8miorBJzUZsAaV1faylluN4uOk3wFPaJq2Re88VfQN8LGmaf/oHaQaOAAuFBXrtZqmraOoyHWm6NhvjbygJUsFTFz+LbIel3/jLKW4uH0N/J+mab/UTLxKqWxbgigatDCvePSkEZgOXFd8f2CNpr26qvxukoBETdMyLlp2sPjfKw60qWFVact/gC2apr2padqe4mI9DnhIKdWo5qLWiNOU3Xa4yvvMUimlegK/AdM1TftY7zzXoB8w46LPgM8Aj+L7o3XOVllJgFHTtMMXLTsCGKmh979FFzhN0wqA7cCASx4aQNEotzIppe6j6JvPCE3TFtdcwoqrQlsSgdZAu4tus4HY4v+X2/7aUMXfzQagwSXH3CKK/9Wth13FtrhTVBQvduG+7sPrK2kT0Esp5XrRsgEUXeIkQZdE10Ap1Zui4vaipmmz9M5zjS79DJhO0YjFdsD3Ouaqig2Ao1Kq6UXLmgCO1NT7X+/RNxUYnTOEomMcj1A0rPRdikbshBQ//hXw1UXrD6VopM6TFH0rvXDzs7a2lLF9NJY1irKyvxtP4ARFb8zrgB4UDTP+3grbMqL472wsRW/SHhQNoNluAW3x5N8PxByKPhTbAY2LH38NWHnR+nUo6sUtoGho/WCKRlVOscK29AWyKTo0cfH7P0DvtlSlPWVsPwILGUVZhd+NA0VfJNdQdCpO++L//wM41EhGvX9IFfxBjqPom2R+8Q+o90WPrQZWX3JfK+O2urZzX2tbytg2GgsqcFVpD0VDhVcUvyESgQ8BL73bUcW2TAD2F7cliaLjPcEW0I6+5bwHvih+/Asg4ZJtWlN0PlJecVtmYAGnCFS2LcX3y1o/QY/81fG7uWT7EVhOgavK31kQRV9ws4BkigZpBdZURrmagBBCCJtk0cfghBBCiKqSAieEEMImSYETQghhk6TACSGEsElS4IQQQtgkKXBCCCFskhQ4IYQQNkkKnBBCCJskBU4IIYRN+n+U2/jA2KqzigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1490.4x331.2 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(trace, var_names=\"w_0\")\n",
    "pm.plot_posterior(trace, var_names=\"w_r\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prediction\n",
    "\n",
    "We want posterior predictive samples for a separate test set `x_test`. This requires to update the shared input variable `Phi_shared` accordingly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 5000/5000 [00:05<00:00, 870.65it/s]\n"
     ]
    }
   ],
   "source": [
    "Phi_shared.set_value(expand(x_test))\n",
    "predictive_samples = pm.sample_posterior_predictive(trace, model=model, samples=5000)['t_obs']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mean and standard deviation of predictive samples can be used to plot model predictions and their uncertainties (together with the ground truth and the noisy training dataset)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = np.mean(predictive_samples, axis=0)\n",
    "s = np.std(predictive_samples, axis=0)\n",
    "\n",
    "plt.fill_between(x_test, m + s, m - s, alpha = 0.5, label='Predictive std. dev.')\n",
    "plt.plot(x_test, m, label='Predictive mean');\n",
    "\n",
    "plot_data(x, t)\n",
    "plot_truth(x_test, y_true, label=None)\n",
    "\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try running the example again with Gaussian expansion i.e. setting `expand = expand_gaussian` and see how it compares to polynomial expansion. Also try running with a different number of basis functions by overriding the default arguments of `expand_polynomial` and `expand_gaussian`."
   ]
  }
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